‡ / °: If d is even, the bottom face becomes some Grünbaum style polygon (case: ‡).
Because the edges of that bottom face then coincide by pairs, that unusual face might be omitted without loss.
This reduced figure (case: °) – not covered by the matrix below – is called a n/d-cuploid (a.k.a. semicupola).

*: The case n=2 fits here by concept too, it just has a different incidence matrix as the n-gons become degenerate.

**: The height formula given below shows that only 6/5 < n/d < 6 is possible.
The maximal height is obtained at n/d = 2 with upright latteral triangles,
the extremal values n/d = 6/5 or 6 would generate heights of zero.